Problem: Boboniu gives you

  * r red balls, 
  * g green balls, 
  * b blue balls, 
  * w white balls. 



He allows you to do the following operation as many times as you want: 

  * Pick a red ball, a green ball, and a blue ball and then change their color to white. 



You should answer if it's possible to arrange all the balls into a palindrome after several (possibly zero) number of described operations. 

Input

The first line contains one integer T (1≤ T≤ 100) denoting the number of test cases.

For each of the next T cases, the first line contains four integers r, g, b and w (0≤ r,g,b,w≤ 10^9).

Output

For each test case, print "Yes" if it's possible to arrange all the balls into a palindrome after doing several (possibly zero) number of described operations. Otherwise, print "No".

Example

Input


4
0 1 1 1
8 1 9 3
0 0 0 0
1000000000 1000000000 1000000000 1000000000


Output


No
Yes
Yes
Yes

Note

In the first test case, you're not able to do any operation and you can never arrange three balls of distinct colors into a palindrome.

In the second test case, after doing one operation, changing (8,1,9,3) to (7,0,8,6), one of those possible palindromes may be "rrrwwwbbbbrbbbbwwwrrr".

A palindrome is a word, phrase, or sequence that reads the same backwards as forwards. For example, "rggbwbggr", "b", "gg" are palindromes while "rgbb", "gbbgr" are not. Notice that an empty word, phrase, or sequence is palindrome.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.math.*;
import java.lang.*;
 
 //@Manan Parmar

public class Solution2 implements Runnable {


    public void run() {
        
        InputReader sc = new InputReader(System.in);
        PrintWriter out = new PrintWriter(System.out);
        
        int t=sc.nextInt();
        while(t--!=0)
        {
            long r=sc.nextLong(),g=sc.nextLong(),b=sc.nextLong(),w=sc.nextLong(),min=Math.min(Math.min(r,g),b);
            boolean b1=false;
            int o=0,e=0;
            if(r%2==0)
                e++;
            if(g%2==0)
                e++;
            if(b%2==0)
                e++;
            if(w%2==0)
                e++;
            if(e>=3)
                out.println("YES");
            else
            {
                int e1=0,e2=0;
                r=r-min;
                g=g-min;
                b=b-min;
                w=w+(3*min);
                if(r%2==0)
                    e1++;
                if(g%2==0)
                    e1++;
                if(b%2==0)
                    e1++;
                if(w%2==0)
                    e1++;
                if(e1>=3)
                {
                   b1=true; 
                }
                else if(min>=1)
                {
                    r++;
                    g++;
                    b++;
                    w=w-3;
                    if(r%2==0)
                        e2++;
                    if(g%2==0)
                        e2++;
                    if(b%2==0)
                        e2++;
                    if(w%2==0)
                        e2++;
                    if(e2>=3)
                    {
                       b1=true; 
                    }
                }
                out.println(b1?"YES":"NO");
            }
        }
        out.close();
    }
 

//========================================================================
    boolean check(char a,char b)
    {
        if(a==b)
            return true;
        else
            return false;
    }
    long binarySearch(long arr[], long x) 
    { 
        int l = 0, r = arr.length - 1,q=0; 
        while (l<=r) { 
            int m = l + (r - l) / 2; 
            if (arr[l] >=x) 
            {
                q=1;
                return l; 
            }
            if (arr[m] < x) 
                l=m+1; 
            else
                r=m;
        } 
        return -1;
    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;
        private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
 
        public InputReader(InputStream stream) {
            this.stream = stream;
        }
       
        public int read() {
            if (numChars==-1)
                throw new InputMismatchException();
           
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                }
                catch (IOException e) {
                    throw new InputMismatchException();
                }
               
                if(numChars <= 0)              
                    return -1;
            }
            return buf[curChar++];
        }
     
        public String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            }
            catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
        public int nextInt() {
            int c = read();
           
            while(isSpaceChar(c))
                c = read();
           
            int sgn = 1;
           
            if (c == '-') {
                sgn = -1;
                c = read();
            }
           
            int res = 0;
            do {
                if(c<'0'||c>'9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
           
            return res * sgn;
        }
       
        public long nextLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
           
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
                return res * sgn;
        }
       
        public double nextDouble() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            double res = 0;
            while (!isSpaceChar(c) && c != '.') {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, nextInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            if (c == '.') {
                c = read();
                double m = 1;
                while (!isSpaceChar(c)) {
                    if (c == 'e' || c == 'E')
                        return res * Math.pow(10, nextInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            return res * sgn;
        }
       
        public String readString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            }
            while (!isSpaceChar(c));
           
            return res.toString();
        }
     
        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
     
        public String next() {
            return readString();
        }
       
        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }

    public static void main(String args[]) throws Exception {
        new Thread(null, new Solution2(),"Main",1<<27).start();
    }
}